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EQUATION SOLVING: Example 1: Find all possible values of T so that 2 1 cosT . Solution: Sn S T 2 3 , Sn S T 2 3 5 , where n is an integer. Solution Method #1 – Graphically: There are an infinite number of solutions which are represented by the value of intersection points of the cosine curve and the constant function 2 1 y. y cosx 2 For 0dTd2S
Solve each of the following trigonometric equations. a) cos 30 sin ( θ θ+ ° = ) , 0 360≤ < °θ b) 3cos 30 sin 60 ( x x + ° = − ° ) ( ) , 0 360≤ < ° x
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This unit looks at the solution of trigonometric equations. In order to solve these equations we shall make extensive use of the graphs of the functions sine, cosine and tangent.
Boost learning parameters with these printable solving trigonometric equation worksheets featuring myriad exercises to solve trig equations in linear and quadratic forms by factoring or by using quadratic formulas.
trigonometric identities with solutions. Created by T. Madas. Created by T. Madas. TRIGONOMETRIC IDENTITIES. Created by T. Madas. Created by T. Madas. 1. ( ) ( )2cos sin cos 2sin 5x x x x+ + − ≡2 2(**) 2.sec sec sin cosθ θ θ θ− ≡2(**)
Worksheet by Kuta Software LLC Math Analysis Honors Worksheet 102 - Solving Trigonometric Equations Name_____ Date_____ Period____ ©k U2[0u1S5n mKzumtIao AShosfktawyaNrue] wLELwCK.E H jASlxlv jr]iwgfhltbsF ZrJeBs`ejryv_eDdy.-1-Find all solutions to each equation in radians. 1) 3 2 = sinq2) cosq = 3 2 3) 0 = cosq
